Title

Numerical evaluation of the fidelity error threshold for the surface code

Authors

Authors

P. Jouzdani;E. R. Mucciolo

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Phys. Rev. A

Keywords

TOPOLOGICAL QUANTUM COMPUTATION; ANYONS; Optics; Physics, Atomic, Molecular & Chemical

Abstract

We study how the resilience of the surface code is affected by the coupling to a non-Markovian environment at zero temperature. The qubits in the surface code experience an effective dynamics due to the coupling to the environment that induces correlations among them. The range of the effective induced qubit-qubit interaction depends on parameters related to the environment and the duration of the quantum error correction cycle. We show numerically that different interaction ranges set different intrinsic bounds on the fidelity of the code. These bounds are unrelated to the error thresholds based on stochastic error models. We introduce a definition of stabilizers based on logical operators that allows us to efficiently implement a Metropolis algorithm to determine upper bounds to the fidelity error threshold.

Journal Title

Physical Review A

Volume

90

Issue/Number

1

Publication Date

1-1-2014

Document Type

Article

Language

English

First Page

8

WOS Identifier

WOS:000342427900002

ISSN

1050-2947

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